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Finding the Fourth Proportional to 12.42, 18.54 and 11.93

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Solution

The fourth proportional to 12.42, 18.54 and 11.93 is: 17.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.42 : 18.54 = 11.93 : x
  2. Step 2: Convert to fraction form
    12.42/18.54 = 11.93/x
  3. Step 3: Cross multiply
    12.42x = 18.54 × 11.93
  4. Step 4: Simplify right side
    12.42x = 221.18
  5. Step 5: Solve for x
    x = 221.18/12.42
  6. Step 6: Final answer
    x = 17.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.